<!-- This comment will put IE 6, 7 and 8 in quirks mode -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<title>include/shark/Statistics/Distributions/MultiNomialDistribution.h Source File</title>
<script type="text/javaScript" src="search/search.js"></script>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3.0.1/es5/tex-mml-chtml.js"></script>
<script src="../../mlstyle.js"></script>
<link href="../css/besser.css" rel="stylesheet" type="text/css"/>
</head>
<!-- pretty cool: each body gets an id tag which is the basename of the web page  -->
<!--              and allows for page-specific CSS. this is client-side scripted, -->
<!--              so the id will not yet show up in the served source code -->
<script type="text/javascript">
    jQuery(document).ready(function () {
        var url = jQuery(location).attr('href');
        var pname = url.substr(url.lastIndexOf("/")+1, url.lastIndexOf(".")-url.lastIndexOf("/")-1);
        jQuery('#this_url').html('<strong>' + pname + '</strong>');
        jQuery('body').attr('id', pname);
    });
</script>
<body>
    <div id="shark_old">
        <div id="wrap">
            <div id="header">
                <div id="site-name"><a href="../../sphinx_pages/build/html/index.html">Shark machine learning library</a></div>
                <ul id="nav">
                    <li >
                        <a href="../../sphinx_pages/build/html/rest_sources/installation.html">Installation</a>
                    </li>
		    <li >
                        <a href="../../sphinx_pages/build/html/rest_sources/tutorials/tutorials.html">Tutorials</a>
                    </li>
		    <li >
                        <a href="../../sphinx_pages/build/html/rest_sources/benchmark.html">Benchmarks</a>
                    </li>
                    <li class="active">
                        <a href="classes.html">Documentation</a>
                        <ul>
                            <li class="first"></li>
                            <li><a href="../../sphinx_pages/build/html/rest_sources/quickref/quickref.html">Quick references</a></li>
                            <li><a href="classes.html">Class list</a></li>
                            <li class="last"><a href="group__shark__globals.html">Global functions</a></li>
                        </ul>
                    </li>
                </ul>
            </div>
        </div>
    </div>
<div id="doxywrapper">
<!--
    <div id="global_doxytitle">Doxygen<br>Documentation:</div>
-->
    <div id="navrow_wrapper">
<!-- Generated by Doxygen 1.9.8 -->
<div id="nav-path" class="navpath">
  <ul>
<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_9d0c4981f10d03078bcfd5c74fe41ce8.html">shark</a></li><li class="navelem"><a class="el" href="dir_f8743075f03ab9ea1c8fba65e353047b.html">Statistics</a></li><li class="navelem"><a class="el" href="dir_d315ccf5361e241656b8783c2ebfe354.html">Distributions</a></li>  </ul>
</div>
</div><!-- top -->
<div class="header">
  <div class="headertitle"><div class="title">MultiNomialDistribution.h</div></div>
</div><!--header-->
<div class="contents">
<a href="_multi_nomial_distribution_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment"> *</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> *</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> * \brief       Implements a multinomial distribution</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * </span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> * </span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> *</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> * \author    O.Krause</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> * \date        2016</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> *</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> *</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> * \par Copyright 1995-2017 Shark Development Team</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> * </span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * &lt;https://shark-ml.github.io/Shark/&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * </span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published </span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * </span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> * </span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="comment"> *</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="comment"> */</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="preprocessor">#ifndef SHARK_STATISTICS_MULTINOMIALDISTRIBUTION_H</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="preprocessor">#define SHARK_STATISTICS_MULTINOMIALDISTRIBUTION_H</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#include &lt;<a class="code" href="_base_8h.html">shark/LinAlg/Base.h</a>&gt;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#include &lt;<a class="code" href="_random_8h.html">shark/Core/Random.h</a>&gt;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a> {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="comment"></span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="comment">/// \brief Implements a multinomial distribution.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span><span class="comment">///</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="comment">/// A multinomial distribution is a discrete distribution with states 0,...,N-1</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="comment">/// and probabilities p_i for state i with sum_i p_i = 1. This implementation uses</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="comment">/// the fast alias method (Kronmal and Peterson,1979) to draw the numbers in </span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="comment">/// constant time. Setup is O(N) and also quite fast. It is advisable </span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="comment">/// to use this method to draw many numbers in succession.</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment">///</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="comment">/// The idea of the alias method is to pair a state with high probability with a state with low</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment">/// probability. A high probability state can in this case be included in several pairs. To draw,</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="comment">/// first one of the states is selected and afterwards a coin toss decides which element of the pair </span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="comment">/// is taken.</span></div>
<div class="foldopen" id="foldopen00052" data-start="{" data-end="};">
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html">   52</a></span><span class="comment"></span><span class="keyword">class </span><a class="code hl_class" href="classshark_1_1_multi_nomial_distribution.html" title="Implements a multinomial distribution.">MultiNomialDistribution</a>{</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>    <span class="keyword">typedef</span> std::size_t result_type;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#aa682441c740b382d8dbecf718bc26815">   56</a></span>    <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#aa682441c740b382d8dbecf718bc26815">MultiNomialDistribution</a>(){}</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="comment"></span> </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="comment">    /// \brief Constructor</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="comment">    /// \param [in] probabilities Probability vector</span></div>
<div class="foldopen" id="foldopen00060" data-start="{" data-end="}">
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#a56cfc712e7a89fc5c8823d2877e2a7d8">   60</a></span><span class="comment"></span>    <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a56cfc712e7a89fc5c8823d2877e2a7d8" title="Constructor.">MultiNomialDistribution</a>(RealVector <span class="keyword">const</span>&amp; <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a16f80a1746538bcddf35222aba064f00" title="Accesses the probabilityvector defining the distribution.">probabilities</a> ) </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>    : m_probabilities(<a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a16f80a1746538bcddf35222aba064f00" title="Accesses the probabilityvector defining the distribution.">probabilities</a>){</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>        <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a930effbb103135e41bb94dee25e7247e">update</a>();</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>    }</div>
</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>    <span class="comment"></span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="comment">    /// \brief Stores/Restores the distribution from the supplied archive.</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span><span class="comment">    /// \param [in,out] ar The archive to read from/write to.</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="comment">    /// \param [in] version Currently unused.</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Archive&gt;</div>
<div class="foldopen" id="foldopen00069" data-start="{" data-end="}">
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#ac13b2e76fdc95f2b115a33507b5b3b52">   69</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#ac13b2e76fdc95f2b115a33507b5b3b52" title="Stores/Restores the distribution from the supplied archive.">serialize</a>( Archive &amp; ar, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> version ) {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>        ar &amp; BOOST_SERIALIZATION_NVP( m_probabilities );</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>        ar &amp; BOOST_SERIALIZATION_NVP( m_q );</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>        ar &amp; BOOST_SERIALIZATION_NVP( m_J );</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>    }</div>
</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="comment"></span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span><span class="comment">    /// \brief Accesses the probabilityvector defining the distribution.</span></div>
<div class="foldopen" id="foldopen00076" data-start="{" data-end="}">
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#a16f80a1746538bcddf35222aba064f00">   76</a></span><span class="comment"></span>    RealVector <span class="keyword">const</span>&amp; <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a16f80a1746538bcddf35222aba064f00" title="Accesses the probabilityvector defining the distribution.">probabilities</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>        <span class="keywordflow">return</span> m_probabilities;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>    }</div>
</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    <span class="comment"></span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="comment">    /// \brief Accesses a mutable reference to the probability vector</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span><span class="comment">    /// defining the distribution. Allows for l-value semantics.</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="comment">    /// </span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span><span class="comment">    /// ATTENTION: If the reference is altered, update needs to be called manually.</span></div>
<div class="foldopen" id="foldopen00084" data-start="{" data-end="}">
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#af0528dd743cf80cb472af71f7c5dd92d">   84</a></span><span class="comment"></span>    RealVector&amp; <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#af0528dd743cf80cb472af71f7c5dd92d" title="Accesses a mutable reference to the probability vector defining the distribution. Allows for l-value ...">probabilities</a>() {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>        <span class="keywordflow">return</span> m_probabilities;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>    }</div>
</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="comment"></span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="comment">    /// \brief Samples the distribution.</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">class</span> randomType&gt;</div>
<div class="foldopen" id="foldopen00090" data-start="{" data-end="}">
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#a1148b3503fe2227a20ebe3b3abc8d6fe">   90</a></span>    result_type <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a1148b3503fe2227a20ebe3b3abc8d6fe" title="Samples the distribution.">operator()</a>(randomType&amp; rng)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>        std::size_t numStates = m_probabilities.size();</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span> </div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>        std::size_t index = <a class="code hl_function" href="namespaceshark_1_1random.html#aa64d4174eaf7111b03e0504eaa56b666" title="Draws a discrete number in {low,low+1,...,high} by drawing random numbers from rng.">random::discrete</a>(rng,std::size_t(0),numStates-1);</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span> </div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>        <span class="keywordflow">if</span>(<a class="code hl_function" href="namespaceshark_1_1random.html#ada5e9e6fd77534e1d99479213e5fed50" title="Flips a coin with probability of heads being pHeads by drawing random numbers from rng.">random::coinToss</a>(rng, m_q[index]))</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>            <span class="keywordflow">return</span> index;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>        <span class="keywordflow">else</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>            <span class="keywordflow">return</span> m_J[index];</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    }       </div>
</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span> </div>
<div class="foldopen" id="foldopen00102" data-start="{" data-end="}">
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"><a class="line" href="classshark_1_1_multi_nomial_distribution.html#a930effbb103135e41bb94dee25e7247e">  102</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_multi_nomial_distribution.html#a930effbb103135e41bb94dee25e7247e">update</a>() {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>        std::size_t numStates = m_probabilities.size();</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>        m_q.resize(numStates);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>        m_J.resize(numStates);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>        m_probabilities/=sum(m_probabilities);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>        <span class="comment">// Sort the data into the outcomes with probabilities</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>        <span class="comment">// that are larger and smaller than 1/K.</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>        std::deque&lt;std::size_t&gt; smaller;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>        std::deque&lt;std::size_t&gt; larger;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>        <span class="keywordflow">for</span>(std::size_t i = 0;i != numStates; ++i){</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>            m_q(i) = numStates*m_probabilities(i);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>            <span class="keywordflow">if</span>(m_q(i) &lt; 1.0)</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>                smaller.push_back(i);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>                larger.push_back(i);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>        }</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>        <span class="comment">// Loop though and create little binary mixtures that</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>        <span class="comment">// appropriately allocate the larger outcomes over the</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>        <span class="comment">// overall uniform mixture.</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>        <span class="keywordflow">while</span>(!smaller.empty() &amp;&amp; !larger.empty()){</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>            std::size_t smallIndex = smaller.front();</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>            std::size_t largeIndex = larger.front();</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>            smaller.pop_front();</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>            larger.pop_front();</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span> </div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>            m_J[smallIndex] = largeIndex;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>            m_q[largeIndex]  -= 1.0 - m_q[smallIndex];</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span> </div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>            <span class="keywordflow">if</span>(m_q[largeIndex] &lt; 1.0)</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>                smaller.push_back(largeIndex);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>            <span class="keywordflow">else</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>                larger.push_back(largeIndex);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>        }</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>        <span class="keywordflow">for</span>(std::size_t i = 0; i != larger.size(); ++i){</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>            m_q[larger[i]]=std::min(m_q[larger[i]],1.0);</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>        }</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>    }</div>
</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span> </div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>    RealVector m_probabilities; <span class="comment">///&lt; probability of every state.</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>    RealVector m_q; <span class="comment">///&lt; probability of the pair (i,J[i]) to draw an.</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>    blas::vector&lt;std::size_t&gt; m_J; <span class="comment">///&lt; defines the second element of the pair (i,J[i])</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>};</div>
</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>}</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span> </div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span><span class="preprocessor">#endif</span></div>
</div><!-- fragment --></div><!-- contents -->
</div>
</body>
</html>
